Year 2 Teaching Sequence Spring 2 - Rounding two-digit numbers to nearest multiple of ten (two days) Prerequisites: Mark two-digit numbers on a landmarked line (labelled in tens) (see spring teaching sequence 1 and oral and mental starter bank 2) Partition two-digit numbers into multiples of ten and one (see autumn teaching sequence 1 and spring oral and mental starter bank 2) Overview of progression: Children place numbers on 0-100 beaded bar and see which multiple of ten is nearest. They round numbers to the nearest ten, place them on a 0-100 landmarked line and learn that numbers ending in ‘5’ are rounded up. They begin to find how far two-digit numbers are from the nearest multiple of ten. Prices are also rounded, and children see how this can be useful when adding a list of prices. Note that children need to have a good mental image of where numbers lie between multiple of ten to round two-digit numbers to the nearest multiple of ten. Watch out for children who are not certain where to place two-digit numbers between multiple of ten on a 0-100 landmarked line, but need to continue to work with the 0-100 beaded line. © Original teaching sequence copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. Y2 Maths TS2 – Spr – 2days Objectives: Round two-digit numbers to nearest multiple of ten Whole class Group activities Paired/indiv practice Resources Show children the 100 bead bar. Write 32 on a tag, and ask a child to hang it after the 32nd bead. Is 32 nearer to 30 or 40? If we wanted to round 32 to the nearest ten we would round it to 30 because that’s the closest multiple of ten. If we were adding the prices of lots of toys, and just needed to know roughly how much the whole would be, we could round each price to the nearest ten and then add them. Repeat to locate 68, 42 and 98 on a bead bar, and then to round each one to the nearest 10. Write 45 on a tag and ask a child to hang it in the correct position on the bead bar. Is it nearer to 40 or 50? It’s in the middle. If we’re asked to round 45, we would round it up to 50. If you were rounding lots of prices, it would be safer to round 45p up to 50p to make sure you had enough money! So we always round up any numbers ending in 5. Show children items priced 17p, 25p, 32p, 49p, 55p, 63p, 74p, 86p and 99p. Take each in turn and round to the nearest 10p. Mark each on a 0-100 landmarked line (see resources), having added ‘p’ after each multiple of ten. Discuss how 99p rounds to Group of 4-5 children Display a 0-100 landmarked line (see resources). When should 34 go on this line? Does 34 round to 30 or 40? Ask a child to mark it on the line. Is this right? Do we need to move it a little? How is it away from 30? What would we subtract from 34 to get to 30? Where should we mark 68? Does 68 round to 60 or to 70? How far away is 68 from 70? What would we need to add to 68 to make 70? Show children this on a bead string if necessary. Repeat with other two-digit numbers. Easier: Use a 0-100 beaded line. Children work in pairs to shuffle a pack of 1-9 digit cards. They take two, make two two-digit numbers and mark them on a 0-100 landmarked line (see resources). They discuss which tens number each two-digit numbers rounds to, and ring that number on the line. Repeat. Easier: Children place them on a 0-100 beaded line (see resources). 100 bead bar and tags 1-9 digit cards 0-100 landmarked lines (see resources) 0-100 beaded number lines (see resources) Group of 4-5 children Show children items priced 27p, 18p and 11p. I’ve got one pound, I wonder if I’ve got enough to buy all three things. They are not easy numbers to add, we could use a calculator, but we could also Ask children to work in pairs to come up with two prices that round to 20p. Repeat for 30p, 40p, 50p… £1. They mark each on a money line (see resources). Easier: Children’s money line has © Original teaching sequence copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. Go Maths PCMs 68 and 69 Landmarked 0£1 money line (see resources) 0-£1 penny line (see resources) Y2 Maths TS2 – Spr – 2days 100p which is one pound, and write £1 by 100 on the line. Demonstrate that if we want to add several of these prices quickly, it is much easier to add, say, 20p, 60p and 50p than to add 17p, 63p and 49p. Rounding to the nearest 10p can help us work out roughly how much several things will cost altogether. round each price to the nearest 10p. Do this to arrive at 30p, 20p and 10p. What is 30p and 20p? How could we work this out? What is 30p add 10p? And another 10p? So now we’ve added on 20p. Now we need to add on the last 10p. What have we got? So the total is about 60p, so we’ve probably got enough money to buy all three things. Use a calculator to find the exact price, 56p. What is 56p to the nearest 10p? This is one example where rounding can be really useful. Easier: Use prices 27p, 9p and 12p. pennies on it (see resources). Harder: Challenge children to work in pairs to come up with two prices that round to 20p, one price less than 20p and more greater than 20p. Repeat for 30p, 40p, 50p… £1. © Original teaching sequence copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. Y2 Maths TS2 – Spr – 2days